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A Method for Discretization in Time Based on Cayley Transform for Parabolic Transmission Problem

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Computational Science and Its Applications — ICCSA 2003 (ICCSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2667))

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Abstract

A new numerical technique for time discretization is applied for numerical solving of transmission problem for an one-dimensional heat conduction equation. The method is based on Cayley transform and has accuracy like spectral methods. In order to emphasize on features of the numerical approach, we use finite difference method as a simplest one for space discretization. Convergence results are presented. It is shown that the convergence rate of fully discrete solution to exact one is determined by accuracy of method for space discretization.

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Author information

Authors and Affiliations

  1. Kiev National Taras Shevchenko, P.O.Box 262, 02222, Kiev-222, Ukraine

    Nataliya Rossokhata

Authors
  1. Nataliya Rossokhata
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Editor information

Editors and Affiliations

  1. Army High Performance Computing Research Center, USA

    Vipin Kumar

  2. Department of Computer Science, University of Calgary, Calgary, AB, T2N1N4, Canada

    Marina L. Gavrilova

  3. Heuchera Technologies Inc., 122 9251-8 Yonge Street, Richmond Hill, ON, Canada, L4C 9T3

    Chih Jeng Kenneth Tan

  4. Département d’informatique et de recherche opérationelle, Université de Montréal, Montréal, Québec, H3C 3J7, Canada

    Pierre L’Ecuyer

  5. Department of Computer Science and Engineering, University of Minessota, MN, 55455, USA

    Vipin Kumar

  6. The Queen’s University of Belfast, School of Computer Science, Belfast BT7 1NN, Northern Ireland, UK

    Chih Jeng Kenneth Tan

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© 2003 Springer-Verlag Berlin Heidelberg

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Rossokhata, N. (2003). A Method for Discretization in Time Based on Cayley Transform for Parabolic Transmission Problem. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2667. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44839-X_107

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  • DOI: https://doi.org/10.1007/3-540-44839-X_107

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40155-1

  • Online ISBN: 978-3-540-44839-6

  • eBook Packages: Springer Book Archive

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